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arXiv · 2503.07992

Efficient and Accurate Estimation of Lipschitz Constants for Hybrid Quantum-Classical Decision Models

Sajjad Hashemian·Mohammad Saeed Arvenaghi
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Abstract

In this paper, we propose a novel framework for efficiently and accurately estimating Lipschitz constants in hybrid quantum-classical decision models. Our approach integrates classical neural network with quantum variational circuits to address critical issues in learning theory such as fairness verification, robust training, and generalization. By a unified convex optimization formulation, we extend existing classical methods to capture the interplay between classical and quantum layers. This integrated strategy not only provide a tight bound on the Lipschitz constant but also improves computational efficiency with respect to the previous methods.

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Sajjad Hashemian, Mohammad Saeed Arvenaghi. 2025-03-11. Efficient and Accurate Estimation of Lipschitz Constants for Hybrid Quantum-Classical Decision Models. https://arxiv.org/abs/2503.07992

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